Question

Explain how you can determine, based on the equation of a quadratic function, which direction the graph will open.

Answer:
If the leading coefficient is positive, the graph opens upward.
If the leading coefficient is negative, the graph opens downward. ?

Answer 1

If a is negative it will open down if a is positive it will open up

Answer 2

the general form of a quadratic is

y = ax^2 + bx + c

Always look at the coefficient of x^2 ... that's what is ment by the leading coefficient

if a >0 then the parabola is concave up

if a < 0 then the parabola is concave down.